2009 Fiscal Year Final Research Report
Nonlinear diffusion equations for maximum entropy principle with kappa-entropy
| Project/Area Number |
19540391
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Ibaraki University |
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Principal Investigator |
WADA Tatsuaki Ibaraki University, 工学部, 准教授 (00240549)
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| Research Collaborator |
SCARFONE Antonio maria トリノ工科大学, 物理学科, 准教授
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| Project Period (FY) |
2007 – 2009
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| Keywords | κエントロピ / エントロピ最大原理 / 非線型拡散方程式 / Fokker-Planck方程式 / リアプノフ汎関数 / ダイバージェンス |
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| Research Abstract |
This work is a research study on the kappa-generalized thermostatistics based on kappa-entropy, which was proposed in 2002 by Dr. G.Kaniadakis and Dr. A.M.Scarfone in Politechnical University in Torino (Politecnico di Torino), Italy. We have found that the explicit expressions of the nonlinear diffusion and Fokker-Planck equations associated with kappa-entropy, and shown the underlying mechanism of the generalized maximum entropy (MaxEnt) principle for kappa-entropy.
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